Confidence Intervals
A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter than her husband. Find a 95% confidence interval for the proportion of married couples in the population for which the wife is taller than her husband.
(.0286, .0714)
If twelve jurors are to be selected and there are 15 candidates available, how many different panels of jurors are possible?
Combination - 455
Find the expected value for a distribution where the probability of getting 0 is 0.1296, 1 is 0.3456, 2 is 0.3456, 3 is 0.1536, and 4 is 0.0256.
expected value = 1.6
Name the three primary colours.
Red, Yellow, and Blue
Name the largest freshwater lake in the world.
Lake Superior
An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown mean μ and standard deviation σ = 10 bushels. Construct the 90% confidence interval for the mean number bushels per acre of corn.
(146.72, 153.28)
How many four-letter words can be formed from the letters in the word MISTAKE?
Permutation - 840
Suppose we have a binomial problem with 10 trials and the probability of success on one trial is 0.3. Find P(X > 8).
.0001437
How many people did Jesus Christ feed with five loaves of bread and two fish?
about 5000
What is the diameter of Earth?
8,000 miles
A simple random sample of 25 new food cans indicated that the mean diameter was 3.13 inches with a standard deviation of 0.04 inches. Construct a 95% confidence interval based on these data.
A city council consists of the mayor and six council members. How many different committees of 4 can be formed if the mayor is on no committee?
Combination - 15
How many license plates are possible in which one letter is followed by at least one digit and no more than 4 digits?
288,860
In which year was Alaska sold to the U.S.?
1867
Who was the first actor to have played the role of James Bond in the movie series?
Sir Sean Connery
A preliminary study has indicated that the standard deviation of a population is approximately 7.85 hours. Determine the appropriate sample size if the estimate of the population mean is to have a margin of error of less than 2 hours at the 95% confidence interval.
n = 60
The List of Best-Selling Books contains the top ten bestsellers. A librarian wishes to display these books, but only has room for seven books on the shelf. How many ways can she arrange seven different books on the shelf?
Permutation - 604,800
There are three basic types of new cars: four-door sedan, two-door coupe, and hatchback. Suppose the sampling distribution for the proportion of people who purchase a sedan is approximately normal with mean 0.25 and standard deviation 0.019. What is the probability the sample proportion is greater than 0.275? (Hint: find the z-score)
0.0934
Who invented the rabies vaccination?
Louis Pasteur.
What is another word for lexicon?
A dictionary.
From earlier studies, it is believed that the percentage of students favoring a four-day school week during May and June of every school year is approximately 85%. What is the minimum sample size that will create a margin of error of 2% with 90% confidence?
n = 858
In how many ways can a committee of three persons be chosen from four married couples it must consist of one man and two women?
Two Combinations - 24
A store sells old-time assorted candies in four different size boxes, by weight (in ounces). The following model describes the probability of purchasing each size for a random customer who buys this kind of candy. The probability of a box weighing 12 oz is 0.05, 16 oz is 0.45, 24 oz is 0.35, and 36 oz is 0.15. Find the expected weight of a box of assorted candies purchased at this store AND what is the probability a randomly selected customer who buys this type of candy purchases a box that weighs more than the expected value?
21.6 AND 0.5
What is the most populist state capital in the US?
Phoenix, AZ
Name all the seven dwarfs from the fairy tale ‘Snow White’.
Sleepy, Sneezy, Happy, Grumpy, Doc, Dopey and Bashful.